This research bundle executes insertion-mixing processes in a defined row, suggesting further implications for dimensional analysis.
This research bundle records the completed GCFT-0486-0489 SM-G02 generic-q D02 insertion-mixing chapter. It is a four-record, machine-audited synthesis that closes a predeclared one-loop, xi_Q=1, SU(2), dimension-six, source-resolved four-coordinate mixing row. The result is deliberately bounded: it establishes MAP_CLOSED for that declared row, not a full all-order D02 classification or a general completion of every derivative-on-S physical operator.GCFT-0486 fixes the tree-level order of operations for the q0 BFM-BV bridge: C4 is projected at generic non-collinear q and r before q tends to zero, retaining the E_X r-covector rather than discarding it with the gauge-fixing q-covector; the two C5 tree normalizations and their differentiated Slavnov-Taylor relation are fixed in the same convention. GCFT-0487 then executes the three named source channels with q=lambda qbar and r retained. It preserves the repeated denominator at the endpoint, compares the direct ultraviolet coefficient with a massified UV/IR subtraction copy, obtains exact agreement, and measures the prequotient source vector before applying the declared source-only quotient and postquotient phase/action conversion.In parallel, GCFT-0488 reconstructs the physical M0_D02 diagonal counterterm factorization in the generic-q S-Bhat-Bhat tree channel. Starting from the vanishing proper residue, it independently assembles the bare Wilson convention, background-field pole, local action normalization, and relevant two-background sector. This derives z_C=-11/3 and the normalized one-loop running coefficient -22/3 before comparison with the frozen GCFT-0462 comparator. The zero proper residue is therefore not misread as a zero physical running coefficient.GCFT-0489 joins those results without collapsing the inference map. P0-PHYS fixes physical M0, P1-C4-q fixes E_GF, P2-C4-r retains prequotient E_X, and P3-C5-Omega fixes E_EOM, yielding the declared rank-four identity map. P4 remains a Slavnov-Taylor cross-check, P5/P6 remain zero witnesses, and P7 remains a blinded C1/C3 consistency channel rather than a fitted equation. The package includes the PDF, editable TeX, frozen Markdown records, runners, validators, source receipts, page map, and SHA-256 inventory.
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Nicky Joseph Hubertus Catharina Hacquier (2026) studied this question.
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